Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230m |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-68500080 = -1 · 24 · 34 · 5 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51,376] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [-1:18:1] |
Generators of the group modulo torsion |
j |
15087533111/68500080 |
j-invariant |
L |
4.6668354688364 |
L(r)(E,1)/r! |
Ω |
1.3991726141752 |
Real period |
R |
0.83385627719522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bx1 30690bt1 51150bk1 112530cq1 |
Quadratic twists by: -4 -3 5 -11 |